New Developments in Open Dynamical Systems and Their Applications (18w5061)


Konstantin Khanin (University of Toronto)

(Fairfield University)

(University of Maryland)

Hongkun Zhang (University of Massachusetts, Amherst)


The Banff International Research Station will host the "New Developments in Open Dynamical Systems and Their Applications" workshop from March 18th to March 23rd, 2018.

Dynamical systems is a branch of mathematics that seeks to understand the evolution of systems that change over time. A classical example is that of a mathematical billiard or pinball, in which point particles reflect elastically off of fixed boundaries. In contrast to a traditional closed dynamical system in which the dynamics are self-contained, an open dynamical system is one in which the system is allowed to interact with its environment, either through the exchange of mass or energy, or more broadly some type of information. In the example of a billiard, introducing a hole or pocket into the table makes it an open system. Natural questions then arise: At what rate do particles fall into the hole? What is the distribution of particles on the table that have not fallen into the hole by a certain time?

The proposed workshop will bring together leading researchers from diverse branches of dynamics related to open systems. These areas of research have many important applications, ranging from our understanding of thermodynamics to our ability to quantify the occurrence of rare events such as large storms or financial crises. By fostering connections between the study these various types of open systems, the workshop will create new directions of research and promote significant progress in this new, but rapidly developing area of dynamics.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).